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O-LevelAdditional MathematicsStraight line graphs4037/12 · Oct/Nov 2011 · Q56 Marks

Variables x and y are such that, when y² is plotted against 2ˣ, a straight line graph is obtained. This line has a gradient of 5 and passes through the point (16,81).

  1. (i)Express y² in terms of 2ˣ.[3]
  2. (ii)Find the value of x when y = 6.[3]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.

  1. [M1] M1 for use of straight line equation as given
  2. [M1] M1 for use of (16, 81)
  3. [A1] A1 - do not allow if subsequent incorrect work is seen
  4. [M1] M1 substitution of y = 6 into their equation in terms of y² and 2^x
  5. [DM1] DM1 for correct solution of equation of the form 2^x = k
  6. [A1] A1 for x = 2.81

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About this question

Topic
Straight line graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2011 Paper 1 Variant 2, question 5.

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